189003144960 has 648 divisors, whose sum is σ = 788932989936. Its totient is φ = 43197235200.

The previous prime is 189003144937. The next prime is 189003144973. The reversal of 189003144960 is 69441300981.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15234760 + ... + 15247160.

It is an arithmetic number, because the mean of its divisors is an integer number (1217489182).

Almost surely, 2^189003144960 is an apocalyptic number.

189003144960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189003144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394466494968).

189003144960 is an abundant number, since it is smaller than the sum of its proper divisors (599929844976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189003144960 is an equidigital number, since it uses as much as digits as its factorization.

189003144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12451 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 189003144960 in words is "one hundred eighty-nine billion, three million, one hundred forty-four thousand, nine hundred sixty".